Suppose that X has the discrete uniform distribution on the integers 0,1,2 (i.e. P(X = k) = 1/3, k = 0, 1, 2) and that Y has a binomial distribution with n = 2 and p = 1/2. If X and Y are independent, find P(X = Y ). 1/6 O 1/2 O 1/9 1/3 1/12

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